If \((25\sqrt5)^x=(\sqrt[3]{5})^{x+1},\) what does \(x\) equal

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If \((25\sqrt5)^x=(\sqrt[3]{5})^{x+1},\) what does \(x\) equal

(A) \(\dfrac15\)

(B) \(\dfrac2{13}\)

(C) \(\dfrac2{15}\)

(D) \(\dfrac53\)

(E) \(\dfrac{15}2\)

Answer: B

Source: Magoosh